Answer:
Multiplying the variables and numbers in the parentheses by the number next to them.
Step-by-step explanation:
Rewrite by completing the square 2x^2+7x+6=0
Answer:
[tex]2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0[/tex]
Answer:
(x+7/4)^2=1/16
Step-by-step explanation:
Point I is on line segment HJ. Given IJ=4 and HI=8 determine the length HJ
Pleaseeee help
Answer: 12
Step-by-step explanation:
five billion, seventy three thousand
Answer:
5,000,073,000
Step-by-step explanation:
The point (1, –5) is reflected across the y-axis. A coordinate plane. What are its new coordinates?
Answer:
(-1,-5)
Step-by-step explanation:
Answer:
HMM C..... Answer: Choice C. (-1, -5)
Step-by-step explanation:
The reflection rule we use is
when we want to reflect over the y axis. The x coordinate flips from positive to negative, or vice versa, while the y coordinate stays the same.
The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8)P, left parenthesis, x, right parenthesis, equals, minus, 15, x, left parenthesis, x, minus, 8, right parenthesis What current will produce the maximum power?
Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
[tex]P(x)=-15x(x-8)[/tex]
To find:
The current which will produce the maximum power.
Solution:
We have,
[tex]P(x)=-15x(x-8)[/tex]
[tex]P(x)=-15x^2+120x[/tex]
Differentiate with respect to x.
[tex]P'(x)=-15(2x)+120(1)[/tex]
[tex]P'(x)=-30x+120[/tex] ...(i)
To find the extreme point equate P'(x)=0.
[tex]-30x+120=0[/tex]
[tex]-30x=-120[/tex]
Divide both sides by -30.
[tex]x=4[/tex]
Differentiate (i) with respect to x.
[tex]P'(x)=-30(1)+(0)[/tex]
[tex]P'(x)=-30<0[/tex] (Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:
its 4 amperes
Step-by-step explanation:
khan said so
Nishi invests $3000 at 5% interest per year. Work out how much she will have altogether after:
Answer:
2 years: 30
5 years: 75
7 years :105
10 years:150
i think those are the answer
Step-by-step explanation:
take the interest percentage and divide by 100 ex:5.2%100= 0.052
take the dollar amount and multiply interest decimal ex:$ 450*0.052=23.40
take the sum of dollar amount and interest decimal and multiply by # of years of interest ex:3 years *23.40 =70.20 interest and that is how you do it
Nishi will have amounts as $3300, $3750, $4050, and $4500 after 2, 5, 7, and 10 years respectively.
What is simple interest?The formula for simple interest is:
I = Prt
Where:
I = Interest earned
P = Principal (amount invested)
r = Interest rate (as a decimal)
t = Time (in years)
Using the simple interest formula to calculate how much Nishi will have after a certain number of years.
2 years:
I = Prt = 3000 x 0.05 x 2 = $300
Total amount after 2 years = P + I = $3300
5 years:
I = Prt = 3000 x 0.05 x 5 = $750
Total amount after 5 years = P + I = $3750
7 years:
I = Prt = 3000 x 0.05 x 7 = $1050
Total amount after 7 years = P + I = $4050
10 years:
I = Prt = 3000 x 0.05 x 10 = $1500
Total amount after 10 years = P + I = $4500
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ2
-4 5/6 + (3 1/3) =
How dI you do this?
Translate the sentence into an inequality.
Five subtracted from b is less than or equal to 16.
Answer:
Step-by-step explanation:
b-5 ≤ 16
Answer:
b - 5 ≤ 16
Step-by-step explanation:
Name the slope and y-intercept of the graph of each question
y = 3x + 8
5x+y=17
PLEASE SOMEONE EXPLAIN TO ME HOW TO DO IT . WILL MAKE BRAINIEST AND 30 points
Answer:
Step-by-step explanation:
in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.
3x is the slope . 8 is the y intercept
5x is the slope while y is the basically the y intercept.
Answer:
in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.
3x is the slope . 8 is the y intercept
5x is the slope while y is the basically the y intercept.
Step-by-step explanation:
a number multiplied by 5 and increased by 7 the result is 62
Answer:11
Step-by-step explanation: subtract 7 from 62, which give you 55, divide by 5 which gives you 11.
Answer:
Step-by-step explanation:
5X+7=62
5X=55
X=11
Dolly earns $6.40 per hour. She worked 28.25 hours last week. How much did Dolly earn last week?
Answer:
180.8
Step-by-step explanation:
multiply 6.40 with the hour 28.25
Hope this helps!
URGENT!!!! What are the x and y-intercepts of the line described by the equation?
2x – 6y = 30
Enter your answers in the boxes.
Answer:
(15,0)
(0,−5)
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 2x=30 for x
The x and y intercepts of the equation of line 2x – 6y = 30 are;
x-intercept = (15, 0)
y - intercept = (0, -5)
In graphs, the x - intercept is the point where y = 0. Similarly, the y - intercept is the point where x = 0.
We are given the equation of line as;
2x - 6y = 30
Thus, x-intercept, we will put y = 0;
2x - 6(0) = 30
2x = 30
divide both sides by 2 to get;
x = 30/2
x = 15
Thus, y-intercept, we will put x = 0;
2(0) - 6y = 30
0 - 6y = 30
-6y = 30
y = 30/-6
y = -5
In conclusion, the x and y intercepts respectively are (15, 0) and (0, -5)
Read more at; https://brainly.com/question/13405797
sally picked 6 and 2-thirds pounds of apples. She used 1-half of the apples she picked to make pies. Question How many pounds of apples did Sally use to make pies? Move numbers to the boxes to show the answer.
Answer:
[tex]3 \frac{1}{3}[/tex]
Step-by-step explanation:
We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D
A group of 80 ants went to collect some honey. 1/2 lost their way and 1/4 got eaten by a passing anteater. How many ants came back?
Answer:
23
Step-by-step explanation:
Can you please help me? It’s timed!!
Answer:
[tex]0.75[/tex] (D)
Step-by-step explanation:
tanA = [tex]\frac{6}{8}[/tex]
tanA = [tex]0.75[/tex]
Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?
A. Flipping a coin and getting heads for door A or tails for door C.
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
C. Creating a spinner divided into 4 equal parts. Label two parts door A, one part door B, and the third part door C.
D. Go to the game show and collect data for a month on which doors people chose.
Answer:
The correct option is;
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C
Step-by-step explanation:
Given that an onloaded die has equal chances of getting either 1 or 2 or 3 or 4 or 5 or 6, the chances of getting a particular score is therefore 1/6
and the probability of getting a 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3
Therefore, given that the probability, P[tex]_{door}[/tex] of opening door A, or door B, or door C is the probability of selecting 1 out of 3 given as follows;
P[tex]_{door}[/tex](door A) = 1/3
P[tex]_{door}[/tex](door B) = 1/3
P[tex]_{door}[/tex](door C) = 1/3
Therefore, given that the probability of selecting either door A or door B or door C is equivalent to the probability of getting a 1 or 2, or a 3 or 4, or a 5 or 6 on a die.
Answer:
Its B: Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
Step-by-step explanation:
They have to be evenly probable so its B
edge 2020
graph y= -x -6 please
Answer:
Correct
Step-by-step explanation:
Your graph is correct. The y-intercept is -6 and the slope is negative one, so you count one down and one to the right.
PLS HELP ILL MARK YOU BRAINEST DUE IN 20 MINSS
Answer:
well the numbers are 58 60 62 64 and 66
Step-by-step explanation:
it's because when u add these 5 numbers u get 310 hope this helps
Answer: 62
Step-by-step explanation:
PROBLEM SOLVING You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a
similar garden with a perimeter of 105 feet?
Answer:
5
Step-by-step explanation:
you divide 42 by 2,then get 21 so you divide that by 105 and get 5 :))
If you cut a 3 ¾ ft. length of wire into pieces that are ¼ ft. long, how many pieces
of wire will you have?
Answer:
3 2/4
Step-by-step explanation:
3.5 or just 3 if you round
Solve for the value of x that makes likes r and s parallel.
Answer:
x = 65
Step-by-step explanation:
If Alternate exterior angles are congruent, r and s will be parallel
3x - 63 = 2x + 2
3x - 2x - 63 = 2
x - 63 = 2
x = 2 + 63
x = 65
The altitude of a helicopter increase is 1000 feet every four minutes. What is the unit rate of change (feet per minute) of the altitude?
Answer:
250 feet per minute
Step-by-step explanation:
1000 divided by 4 is 250. You divide them by each other because if you multiply 250 feet by 4 minutes, you get 1000.
(brainliest?)
The price of a car decreases by 35% to £13000.
What was the car worth before the decrease?
Help
Answer:
€20,000
Step-by-step explanation:
% decrease = (original price of the car - new price) ÷ original price × 100
Let "x' represents the original price before the decrease.
New price = €13,000
% decrease = 35%
Plug in the values into the equation
[tex] 35 = \frac{x - 13,000}{x}*100 [/tex]
[tex] 35 = \frac{100x - 1,300,000}{x} [/tex]
Multiply both sides by x
[tex] 35*x = \frac{100x - 1,300,000}{x}*x [/tex]
[tex] 35x = 100x - 1,300,000 [/tex]
Subtract 100x from both sides
[tex] 35x - 100x = 100x - 1,300,000 - 100x [/tex]
[tex] -65x = -1,300,000 [/tex]
Divide both sides by -65
[tex] \frac{-65x}{65} = \frac{-1,300,000}{65} [/tex]
[tex] x = 20,000 [/tex]
The car was worth €20,000 before the decrease.
Solve for n.
n+ 1 = 4(n-8)
0 n = 1
O n = 8
0 n = 11
n = 16
?
Answer:
0 n=11
Step-by-step explanation:
1. Distribute
+1=4(−8)
2. Subtract 1 from both sides of the equation
+1=4−32
+1−1=4−32−1
3. Simplify
=4n−33
4. Subtract 4 from both sides of the equation
=4−33
−4=4−33−4
5. Simplify
−3=−33
6. Divide both sides of the equation by the same term
−3=−33
-3n/-3=-33/-3
7. Simplify
=11
Rachel earned $ 34 $34dollar sign, 34 in 4 44 hours at her job today. She wants to know how much she could earn ( e ) (e)left parenthesis, e, right parenthesis tomorrow if she works 10 1010 hours at the same hourly rate. How much will Rachel earn in 10 1010 hours? $
Answer:
Rachel earn $85 in 10 hours.
Step-by-step explanation:
Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.
1 hour = $(34/4)
= $8.5
He earns $8.5 in an hour.
To find his earning in 10 hours, multiply $8.5 by 10. So,
Earning = $8.5 × 10
= $85
Hence, Rachel earn $85 in 10 hours.
Answer:
85
Step-by-step explanation:
I am right
Round 0.00208815 to 3 significant figures
2. Express each of the following percentages as
a decimal.
(a) 4%
(b) 633%
Answer:
a. 0.04
b. 6.33
Step-by-step explanation:
a. If we want to convert into decimal we need to divide it by 100 then answer will 0.04
4/100 = 0.04
b. If we want to convert into decimal we need to divide it by 100 then answer will 6.33
633/100 = 6.33
For every 8ft of cord he can make 3 chains how much does jairon need to
make 12 chains
Answer:
24 ft of cord
Step-by-step explanation:
8ft = 3 chains
16 ft = 6 chains
24 ft = 12 chains
OR
8 x 3 =24
Find the slope
-5/4
4/5
-4/5
Answer:
The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B
Step-by-step explanation:
You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let us use this rule to answer the question
From the attached graph:
∵ The given line passes through points (-1, -2) and (4, 2)
→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = -2 and y2 = 2
→ Substitute their values in the rule of the slope above
∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]
∴ The slope of the line is [tex]\frac{4}{5}[/tex]
Which of the following is both a perfect square and a perfect cube?
64
16
81
1,000
I know the answer is 64, but how? Can someone please explain me to me how to work this out?